Question

To investigate the relationship between yield of potatoes, y, and level of fertilizer application, X, a researcher divides a field into eight plots of equal size and replies differing amounts of fertilizer to each The yield of potatoes in pouds) and the fertilizer application in pounds) are recorded for each plot. The data are as follows 13 Summary statistics yield SSX 10.5, SSyy 112, SSxy - 25.-2.75 and 3 - 1 1. Find the least squares prediction equation (the slope intercept separatly) 2. Also calculate the value y if x=63

Answer 1

Sxx = 10.5, Syy = 112 ,Sxy=25 =2.75, S = 3 ) リ Ri= Sxy SXY 25 c 105 = 2.38095 - 2.38 10 the slope is 2.3810 R ý Lo 1 x 31 2. 3810 X 2=75 = 24.4523 intercept is 24.45 23 the least square prodiction equation is : ý z ho + Bix 24.4523 t 2:3810 X 2) here to calculate value of y if x = 6:3 ŷ = 24.4523 + 213810 X 6.3 <7 39.4526 CSScanned with CamScanner